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12221020101120 = 29351793604627
BaseRepresentation
bin1011000111010110110110…
…0011111101101000000000
31121021022120220101120012120
42301311231203331220000
53100212122121213440
641554131545524240
72400640161614115
oct261655543755000
947238526346176
1012221020101120
1139919a62780a6
121454622aa3680
136a858b840ccc
1430370164690c
15162d6b962dd0
hexb1d6d8fda00

12221020101120 has 160 divisors (see below), whose sum is σ = 41367254879808. Its totient is φ = 3067236384768.

The previous prime is 12221020101083. The next prime is 12221020101139. The reversal of 12221020101120 is 2110102012221.

12221020101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221020101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46671754 + ... + 46932873.

Almost surely, 212221020101120 is an apocalyptic number.

12221020101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221020101120 is an abundant number, since it is smaller than the sum of its proper divisors (29146234778688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221020101120 is an equidigital number, since it uses as much as digits as its factorization.

12221020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93604670 (or 93604654 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221020101120 its reverse (2110102012221), we get a palindrome (14331122113341).

The spelling of 12221020101120 in words is "twelve trillion, two hundred twenty-one billion, twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 43520 65280 130560 93604627 187209254 280813881 374418508 468023135 561627762 748837016 936046270 1123255524 1404069405 1497674032 1591278659 1872092540 2246511048 2808138810 2995348064 3182557318 3744185080 4493022096 4773835977 5616277620 5990696128 6365114636 7488370160 7956393295 8986044192 9547671954 11232555240 11981392256 12730229272 14976740320 15912786590 17972088384 19095343908 22465110480 23869179885 23962784512 25460458544 29953480640 31825573180 35944176768 38190687816 44930220960 47738359770 47925569024 50920917088 59906961280 63651146360 71888353536 76381375632 89860441920 95476719540 101841834176 119813922560 127302292720 143776707072 152762751264 179720883840 190953439080 203683668352 239627845120 254604585440 305525502528 359441767680 381906878160 407367336704 509209170880 611051005056 718883535360 763813756320 814734673408 1018418341760 1222102010112 1527627512640 2036836683520 2444204020224 3055255025280 4073673367040 6110510050560 12221020101120